IEOR 4106: Introduction to Operations Research: Stochastic Models
Spring 2009, Professor Whitt
Homework Assignment 1: Tuesday, January 20, 2009
Due on Tuesday, January 27 before class (4:10pm); to be discussed at the
recitation on Sunday, January 25, 4:006:00pm, in 303 Mudd.
Probability Review
: Read Chapters 1 and 2 in the textbook,
Introduction to Probabil
ity Models
, ninth edition, by Sheldon Ross. Please do the six problems below marked with an
asterisk and turn them in next Tuesday. These problems are written out in case you do not
yet have the textbook (available in the Columbia Bookstore). Extra problems are provided in
case you need extra review. Solutions will be provided for all the following problems.
CHAPTER 1
*Problem 1.3.
A coin is to be tossed until a head appears twice in a row. What is the sample space for
this experiment? If the coin is fair, what is the probability that it will be tossed exactly four
times?
*Problem 1.21
Suppose that 5% of men and 0
.
25% of women are colorblind.
A colorblind person is
chosen at random. What is the probability of this person being male? (Assume that there are
This preview has intentionally blurred sections. Sign up to view the full version.
View Full Document
This is the end of the preview.
Sign up
to
access the rest of the document.
 Spring '08
 Whitt
 Operations Research, Conditional Probability, Probability, Probability theory, randomly selected coin

Click to edit the document details